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Popular >

(5x+2)/(x-10)>= 3

Solution

\frac{5 x + 2}{x - 10} \geq 3

Solution

x \leq - 16 or x > 10

+1

Interval Notation

(- \infty, - 16] \cup (10, \infty)

Solution steps

\frac{5 x + 2}{x - 10} \geq 3

Rewrite in standard form

\frac{2 x + 32}{x - 10} \geq 0

Factor

\frac{2 x + 32}{x - 10} : \frac{2 ( x + 16 )}{x - 10}

\frac{2 ( x + 16 )}{x - 10} \geq 0

Divide both sides by

2

\frac{\frac{2 ( x + 16 )}{x - 10}}{2} \geq \frac{0}{2}

Simplify

\frac{x + 16}{x - 10} \geq 0

Identify the intervals

x \leq - 16 or x > 10

Popular Examples

factor n^3+8q^3 factor

n^{3} + 8 q^{3}

-3/5 x+1/5 > 7/20

- \frac{3}{5} x + \frac{1}{5} > \frac{7}{20}

3 (t + 1) = - 21 - 5 t

simplify \sqrt[4]{243}simplify

simplify 5/3*3/10 simplify

\frac{5}{3} \cdot \frac{3}{10}

Frequently Asked Questions (FAQ)

What is (5x+2)/(x-10)>= 3 ?
The solution to (5x+2)/(x-10)>= 3 is x<=-16\lor x>10